List of practice Questions

$ \int e^{x}\left(cosec^{-1}x+\frac{-1}{x\sqrt{x^{2}-1}}\right) \, dx$ is equal to

In the reaction. the intermediate(s) is/are

In the resting muscle fibre, tropomyosin partially covers

In the mouth parts of cockroach, the galea and lacinia form parts of the

In the Newman projection for $2,2$-dimethylbutane $X$ and $Y$ can respectively be

In plants, chlorosis is caused by the deficiency of

In lac operon, $i$-gene codes for

In ecological succession, the climax community is best recognized by the following state.

In $C_{3}-$ plants, photosynthesis occurs in

In an ecosystem, the cycling of nutrients is known as

In a $G.P.$ $ t_2 + t_5 = 216 $ and $ t_4 : t_6 $ = $ 1 : 4 $ and all terms are integers, then its first term is

In a certain progression three consecutive terms are $ 30, 24, 20 $ . The next term of the progression is

Let $\omega$ be a complex cube root of unity with $\omega \, \ne$ 1. A fair die is thrown three times. If r$_1$, r$_2$ and r$_3$ are the numbers obtained on the die, then the probability that $\omega ^{r_1} +\omega ^{r_2} +\omega ^{r_3}=0 , $ is

If the distance of the point $P (1, - 2,1)$ from the plane $x + 2y - 2z = a$, where $a > 0$, is $5$, then the foot of the perpendicular form $ P$ to the plane is

Equation of the plane containing the straight line $\frac{x}{2}=\frac{y}{3}= \frac{z}{4}$ and perpendicular to the plane containing the staight lines $\frac{x}{2}=\frac{y}{4}= \frac{z}{2}$ and $\frac{x}{4}=\frac{y}{2}= \frac{z}{3}$ is

If the angles $A, B$ and $C$ of a triangle are in an arithmetic progression and if $a, b$ and $c$ denote the lengths of the sides opposite to $A, B$ and $C$ respectively, then the value of the expression $ \frac{a}{c} sin \, 2 C + \frac{c}{a} sin \, 2 A $ is

How many stereoisomers are possible in case of $ 3 $ -chlorobutan- $ 2 $ -ol ?

Gold number indicates

For the function $ f(x) = \frac {4}{3} x^3-8x^2+16x+5, $ $ x = 2\,is \,a\,point\, of $

For every $CO _{2}$ molecule entering the Calvin cycle, the number of ATP and NADPH required is

Falling of floral parts, leaves and fruits from the mother plant is called

Closure of stomata is caused by

Clover leaf model of tRNA was suggested by

Chiasmata formation takes place during

Calculate the ratio of $ rms $ speeds of oxygen gas molecules to that of hydrogen gas molecules kept at the same temperature.